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Finding the Fourth Proportional to 3,553.96, 5,331.06 and 1,089

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Solution

The fourth proportional to 3,553.96, 5,331.06 and 1,089 is: 1,633.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,553.96 : 5,331.06 = 1,089 : x
  2. Step 2: Convert to fraction form
    3,553.96/5,331.06 = 1,089/x
  3. Step 3: Cross multiply
    3,553.96x = 5,331.06 × 1,089
  4. Step 4: Simplify right side
    3,553.96x = 5,805,524.34
  5. Step 5: Solve for x
    x = 5,805,524.34/3,553.96
  6. Step 6: Final answer
    x = 1,633.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.